The Geometrization Conjecture |
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| Author:
| Morgan, John
Tian, Gang |
| Series title: | Clay Mathematics Monographs |
| ISBN: | 978-0-8218-5201-9 |
| Publication Date: | May 2014 |
| Publisher: | American Mathematical Society
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| Book Format: | Hardback |
| List Price: | USD $86.00USD $86.00 |
Book Description:
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Provides a complete proof of the geometrization conjecture, which describes all compact 3-manifolds in terms of geometric pieces. The method is to understand the limits as time goes to infinity of Ricci flow with surgery. The first half of the book is devoted to showing that these limits divide naturally along incompressible tori into pieces on which the metric is converging smoothly to hyperbolic metrics and pieces that are locally more and more volume collapsed. The second half of...
More DescriptionProvides a complete proof of the geometrization conjecture, which describes all compact 3-manifolds in terms of geometric pieces. The method is to understand the limits as time goes to infinity of Ricci flow with surgery. The first half of the book is devoted to showing that these limits divide naturally along incompressible tori into pieces on which the metric is converging smoothly to hyperbolic metrics and pieces that are locally more and more volume collapsed. The second half of the book is devoted to showing that the latter pieces are themselves geometric.